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Finding the Fourth Proportional to 159.05, 219.19 and 109.84

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Solution

The fourth proportional to 159.05, 219.19 and 109.84 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 219.19 = 109.84 : x
  2. Step 2: Convert to fraction form
    159.05/219.19 = 109.84/x
  3. Step 3: Cross multiply
    159.05x = 219.19 × 109.84
  4. Step 4: Simplify right side
    159.05x = 24,075.83
  5. Step 5: Solve for x
    x = 24,075.83/159.05
  6. Step 6: Final answer
    x = 151.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.